Lower Bounds for Differential Privacy Under Continual Observation and Online Threshold Queries

arXiv:2403.00028v1 Announce Type: new
Abstract: One of the most basic problems for studying the "price of privacy over time" is the so called private counter problem, introduced by Dwork et al. (2010) and Chan et al. (2010). In this problem, we aim to track the number of events that occur over time, while hiding the existence of every single event. More specifically, in every time step $t\in[T]$ we learn (in an online fashion) that $\Delta_t\geq 0$ new events have occurred, …

aim arxiv basic called counter cs.cr cs.lg differential privacy events privacy private problem problems threshold track under